Opening book details…
Can I read Nonlinear discrete Sturm–Liouville problems on EtoBox?
Nonlinear discrete Sturm–Liouville problems by Jesús Rodriguez is a Mathematics article available to read on EtoBox.
What is Nonlinear discrete Sturm–Liouville problems about?
In this paper we study nonlinear boundary value problems of the form subject to a 11 y(a) + a 12 ∆y(a) = 0 and a 21 y(b + 1) + a 22 ∆y(b + 1) = 0. The parameter λ is an eigenvalue of the associated linear problem; that is, there is a nontrivial function u that satisfies the boundary conditions and also ∆ p(t -1)∆u(t -1) + q(t)u(t) + λu(t) = 0 for t in {a + 1, a + 2, . . . , b + 1}. We establish sufficient conditions for the solvability of such problems. In addition, in those cases where the nonlinearity is "small," we provide a qualitative analysis of the relation between solutions of the nonlinear problem and eigenfunctions of the linear one.
Who reads Nonlinear discrete Sturm–Liouville problems?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jesús Rodriguez
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2005
- Language
- EN
- Field
- Mathematics (Physical Sciences)